Pith Number

pith:2RVRM7AA

pith:2009:2RVRM7AAGSQQNBUXANXMWZVM2V

not attested not anchored not stored refs pending

Brownian limits, local limits and variance asymptotics for convex hulls in the ball

J. E. Yukich, Pierre Calka, Tomasz Schreiber

arxiv:0912.4339 v2 · 2009-12-22 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2RVRM7AAGSQQNBUXANXMWZVM2V}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:29:16.662696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d46b167c0034a1068697036ecb66acd55da5de6ddd2984120a3db1e0612e0846

Aliases

arxiv: 0912.4339 · arxiv_version: 0912.4339v2 · doi: 10.48550/arxiv.0912.4339 · pith_short_12: 2RVRM7AAGSQQ · pith_short_16: 2RVRM7AAGSQQNBUX · pith_short_8: 2RVRM7AA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2RVRM7AAGSQQNBUXANXMWZVM2V \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d46b167c0034a1068697036ecb66acd55da5de6ddd2984120a3db1e0612e0846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb721f7ed0d5c400f9e383aa5ebd7490ddfd0818e1427aa807cf2384b7383b74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-12-22T08:41:05Z",
    "title_canon_sha256": "bf21c353906adb5cbc819791eddc851701e4128b6c52388b684647642215bbd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4339",
    "kind": "arxiv",
    "version": 2
  }
}